A NOTE ON TRACE SCALING ACTIONS AND FUNDAMENTAL GROUPS OF C*-ALGEBRAS

作者：Nawata Norio^*

来源：Proceedings of the American Mathematical Society, 2014, 142(11): 3903-3908.

DOI：10.1090/S0002-9939-2014-12346-X

• Fundamental group
• trace scaling action
• dimension group
• Effros-Handelman-Shen theorem

Using the Effros-Handelman-Shen theorem and Elliott%26apos;s classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A circle times K admits no trace scaling action of the fundamental group of A.

• 出版日期2014-11